On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space

DOI10.1134/S0081543816040106zbMath1357.35156MaRDI QIDQ338492

Olga A. Salieva, Evgeny Galakhov

Publication date: 7 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear capacitynonexistencehalf-spacenonnegative monotonic solutionsquasilinear elliptic inequality

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Soliton equations (35Q51) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Cites Work

• Unnamed Item
• Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces
• Monotonicity and one-dimensional symmetry for solutions of \(-\Delta_{p}u = f(u)\) in half-spaces
• A priori estimates and existence for quasi-linear elliptic equations
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• The essentially nonlinear capacities induced by differential operators
• A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
• Separable solutions of quasilinear Lane-Emden equations
• On blow-up of solutions to differential inequalities with singularities on unbounded sets
• Blow-Up for Nonlinear Inequalities with Singularities on Unbounded Sets
• Liouville theorems for elliptic inequalities and applications
• Quasilinear Elliptic Equations on Half- and Quarter-spaces
• A Liouville result on a half space
• Nonexistence results and estimates for some nonlinear elliptic problems

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